# Find CT Fourier transform of $\left[ \frac{ \sin(\pi ~ t) }{\pi ~t} \right] \left[ \frac{ \sin(2\pi ~ (t-1)) }{\pi ~(t-1)} \right]$using properties

Use properties of Fourier Transform to solve the question. The question is in the imgur link below.

I got $$f_t$$ of $$\frac {sin(pi \cdot t)} {pi \cdot t}$$ as rectangular pulse with value $$1$$ from -pi to pi second ft is $$e^{-jw}$$ from $$-2 \pi$$ to $$2 \pi$$. I'm unable to get the resultant of two of them

• We don't solve other people's homework when they don't even show any own attempt and explain exactly what they personally need help with. In fact, we have a question close reason for exactly that. – Marcus Müller Oct 7 '20 at 12:19
• Also use some Latex to clarify that equation. Are all those " * " s stand for "multiplication" ? Or is one of them a convolution ? – Fat32 Oct 7 '20 at 12:21
• i.stack.imgur.com/Qbkj4.png link of question – Pranav Prabhu Oct 7 '20 at 12:29